No. You use 59 to bypass edits between procedural services (i.e. surgery). You use 25 with an e/m service to indicate that is distinct from a service that typically includes the evaluation required to properly perform the service.

An EKG is a diagnostic service and the global service concept does not apply. Similarly, an e/m does not include an EKG. Therefore, neither modifier is necessary.

That said, many insurance companies will not pay the EKG separately from an e/m.

The actual performance and/or interpretation of diagnostic tests/studies ordered during a patient encounter are not included in the levels of E/M services. Physician performance of diagnostic tests/studies for which specific CPT codes are available may be reported separately, in addition to the appropriate E/M code. The physician's interpretation of the results of diagnostic tests/studies (ie, professional component) with preparation of a separate distinctly identifiable signed written report may also be reported separately, using the appropriate CPT code with the modifier 26 appended.

If I may suggest, if you are coding without training, please stop and get the training because, especially when coding for ED services, if you don't know what you are doing, your claims will be denied and anyone trying to fix the problem won't be able to, any appeals will be denied, and it opens the provider to audits and possible charges of fraud and submitting a false claim. Just some friendly advice.